Q:

Which graph represents y = ^3 radical x - 5 ?PLEASE ANSWER FAST IM TIMED

Accepted Solution

A:
The graph of the parent cube root function which is [tex]y= \sqrt[3]{x} [/tex]  passes from the origin. We have to find the graph of [tex]y=\sqrt[3]{x-5} [/tex]

Addition or subtraction of a number from the function argument i.e. x, shifts the graph horizontally. Addition of a number to the arguments moves it to left, while subtraction of a number moves it to right. 5 is being subtracted from the function argument x. This means the graph of parent cube root function will be shifted 5 units to the left without any change in the vertical direction.

The final picture shows such a graph. So the correct answer is option D